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Finding the Fourth Proportional to 340,411.44, 510,672.60 and 100,549.68

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Solution

The fourth proportional to 340,411.44, 510,672.60 and 100,549.68 is: 150,840.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,411.44 : 510,672.60 = 100,549.68 : x
  2. Step 2: Convert to fraction form
    340,411.44/510,672.60 = 100,549.68/x
  3. Step 3: Cross multiply
    340,411.44x = 510,672.60 × 100,549.68
  4. Step 4: Simplify right side
    340,411.44x = 51,347,966,514.77
  5. Step 5: Solve for x
    x = 51,347,966,514.77/340,411.44
  6. Step 6: Final answer
    x = 150,840.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.